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math.AP2024
Partial balayage for the Helmholtz equation
Stephen J. Gardiner, Tomas Sjödin
Kow, Larson, Salo and Shahgholian recently initiated the study of quadrature domains for the Helmholtz equation and developed an associated theory of partial balayage of measures.…
math.AP2016★ 7 cited
The Dirichlet problem for p-harmonic functions with respect to arbitrary compactifications
Anders Björn, Jana Björn, Tomas Sjödin
We study the Dirichlet problem for p-harmonic functions on metric spaces with respect to arbitrary compactifications. A particular focus is on the Perron method, and as a new appro…